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Display information for equation id:math.1957.45 on revision:1957

* Page found: Kanonische Transformationen (eq math.1957.45)

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Occurrences on the following pages:

Hash: e67280478abfb4dd308b659a598d113f

TeX (original user input):

\delta W=\delta \int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}L=\delta \int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}\left\{ \sum\limits_{k=1}^{f}{{}}{{p}_{k}}{{{\dot{q}}}_{k}}(t)-H(\bar{q},\bar{p},t) \right\}=0

TeX (checked):

\delta W=\delta \int \limits _{{t}_{1}}^{{t}_{2}}{dt}L=\delta \int \limits _{{t}_{1}}^{{t}_{2}}{dt}\left\{\sum \limits _{k=1}^{f}{}{{p}_{k}}{{\dot {q}}_{k}}(t)-H({\bar {q}},{\bar {p}},t)\right\}=0

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.885 KB / 419 B) :

δW=δt1t2dtL=δt1t2dt{k=1fpkq˙k(t)H(q¯,p¯,t)}=0
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03B4;</mi><mi>W</mi><mo>=</mo><mi>&#x03B4;</mi><munderover><mo form="prefix" texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow><mi>L</mi><mo>=</mo><mi>&#x03B4;</mi><munderover><mo form="prefix" texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></munderover><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>&#x2212;</mo><mi>H</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo>=</mo><mn>0</mn></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Kanonische Transformationen page

Identifiers

  • δ
  • W
  • δ
  • t1
  • t2
  • t
  • L
  • δ
  • t1
  • t2
  • t
  • k
  • f
  • pk
  • q˙k
  • t
  • H
  • q¯
  • p¯
  • t

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